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Algebraic Structures In Automata And Database Theory : Series On Soviet And East European Mathematics - B. I. Plotkin

Algebraic Structures In Automata And Database Theory

Series On Soviet And East European Mathematics

Hardcover Published: 1st December 1992
ISBN: 9789810209360
Number Of Pages: 296

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This book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases. Almost all the material is new.

Preface
Preliminariesp. 1
1. Setsp. 1
2. [Omega]-algebrasp. 2
3. Main structuresp. 4
4. Representationsp. 7
5. Categoriesp. 9
Pure Automatap. 11
Basic conceptsp. 11
Universal automatap. 27
Moore automatap. 36
Free pure automatap. 49
Generalizationsp. 55
Constructions and Decomposition of Pure Automatap. 73
Constructionsp. 74
Decomposition of finite pure automatap. 89
Linear Automatap. 105
Basic conceptsp. 105
Constructions. Decomposition of automatap. 120
Automorphisms of linear automata and biautomatap. 146
Varieties of Automatap. 155
Identities of pure automatap. 155
Varieties of pure automatap. 166
Identities of linear automata and biautomatap. 179
Varieties of biautomatap. 191
Quasivarieties of automatap. 216
Automata Model of Databasep. 237
*-automatap. 237
Database scheme, Halmos algebrasp. 241
Database modelp. 247
Homomorphisms of databasesp. 251
Constructive databasesp. 255
Constructions in database theoryp. 263
Bibliographyp. 269
Indexp. 277
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810209360
ISBN-10: 9810209363
Series: Series On Soviet And East European Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 296
Published: 1st December 1992
Country of Publication: SG
Dimensions (cm): 22.61 x 16.15  x 2.03
Weight (kg): 0.54

Earn 339 Qantas Points
on this Book